13258.25 is what percent of 45732.5 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 45732.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 45732.5, so we can write it down as 100%=45732.5.
4. We know, that x% equals 13258.25 of the output value, so we can write it down as x%=13258.25.
5. Now we have two simple equations:
1) 100%=45732.5
2) x%=13258.25
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=45732.5/13258.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13258.25 is what percent of 45732.5

100%/x%=45732.5/13258.25
(100/x)*x=(45732.5/13258.25)*x       - we multiply both sides of the equation by x
100=3.4493617181755*x       - we divide both sides of the equation by (3.4493617181755) to get x
100/3.4493617181755=x
28.990870824906=x
x=28.990870824906

now we have:
13258.25 is 28.990870824906% of 45732.5